Theorems · Definition · measure theory
IsUnifLocDoublingMeasure.scalingConstantOf
{α : Type u_1} →
[inst : PseudoMetricSpace α] →
[inst_1 : MeasurableSpace α] → (μ : MeasureTheory.Measure α) → [IsUnifLocDoublingMeasure μ] → ℝ → NNRealA variant of IsUnifLocDoublingMeasure.doublingConstant which allows for scaling the
radius by values other than 2.
- Defined in
- Mathlib.MeasureTheory.Measure.Doubling
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- NNRealstatement · cited by 4,310
- PseudoMetricSpacestatement and proof · cited by 1,550
- IsUnifLocDoublingMeasurestatement and proof · cited by 26
Cited by9
Results whose statement or proof uses this declaration.
- IsUnifLocDoublingMeasure.closedBall_mem_vitaliFamily_of_dist_le_mulproof · cited by 3
- IsUnifLocDoublingMeasure.eventually_measure_mul_le_scalingConstantOf_mulstatement and proof · cited by 2
- IsUnifLocDoublingMeasure.eventually_measure_le_scaling_constant_mulstatement and proof · cited by 1
- IsUnifLocDoublingMeasure.eventually_measure_le_scaling_constant_mul'statement and proof · cited by 1
- IsUnifLocDoublingMeasure.measure_mul_le_scalingConstantOf_mulstatement · cited by 1
- IsUnifLocDoublingMeasure.one_le_scalingConstantOfstatement · cited by 1
- blimsup_cthickening_ae_le_of_eventually_mul_le_auxproof · cited by 1
- IsUnifLocDoublingMeasure.vitaliFamily_defstatement and proof · cited by 1
- IsUnifLocDoublingMeasure.scalingConstantOf.congr_simpstatement and proof · cited by 0